Answer Happy

3. [-/20 Points] Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna). (Reference: Hummingbirds, K. Long, W. Alther.) Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as folle 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and a = 0.64 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean we indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.30 grams? Use a = 0.10. (a) What is the level of significance? (Enter a number.) DETAILS BBBASICSTAT8ACC 9.1.021. State the nuil and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: = 4.3 g; H₁: = 4.3 g; two-tailed OH 4.3 g; H₁: = 4.3 g; left-tailed = 4.3 g; H₁4.3 g; right-tailed OH:u= 4.3g; H₁4.3 g; left-tailed OH (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since we assume that x has a normal distribution with unknown σ. The standard normal, since we assume that x has a normal distribution with known σ. The Student's t, since n is large with unknown o. The Student's t, since we assume that x has a normal distribution with known a. Compute the z value of the sample test statistic. (Enter a number. Round your answer to two decimal places.) (c) Find (or estimate) the P-value. (Enter a number. Round your answer to four decimal places.) onses/last?dep=29360369 Sketch the sampling distribution and show the area corresponding to the P-value. (Select the correct graph.) -1 0 1 2 3 A